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Finding the Fourth Proportional to 180,123.89, 269,964.37 and 101,072.03

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Solution

The fourth proportional to 180,123.89, 269,964.37 and 101,072.03 is: 151,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.89 : 269,964.37 = 101,072.03 : x
  2. Step 2: Convert to fraction form
    180,123.89/269,964.37 = 101,072.03/x
  3. Step 3: Cross multiply
    180,123.89x = 269,964.37 × 101,072.03
  4. Step 4: Simplify right side
    180,123.89x = 27,285,846,903.57
  5. Step 5: Solve for x
    x = 27,285,846,903.57/180,123.89
  6. Step 6: Final answer
    x = 151,483.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.